Microsoft says it has offered the same deal to Sony, with Call of Duty also continuing to appear on PCs.
Microsoft has entered into a 10-year agreement to bring Call of Duty to Nintendo consoles, following its plan to acquire the game’s publisher.
Microsoft wants to buy Activision Blizzard, which also makes Overwatch and Warcraft, for $68.7bn (£56.5bn).
The deal would enable Microsoft to stop Call of Duty from appearing on rival consoles, such as Sony’s PlayStation 5.
The UK watchdog, the Competition and Markets Authority (CMA), says this could lessen competition in gaming.
Microsoft says this is not the case, and is now offering the title to rivals – for a limited time.
In announcing the deal, Microsoft president Brad Smith said the same offer was on the table for Sony, if it was willing to “sit down and talk”.
